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Finding the Fourth Proportional to 369,496.48, 509,895.02 and 208,350.24

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Solution

The fourth proportional to 369,496.48, 509,895.02 and 208,350.24 is: 287,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,496.48 : 509,895.02 = 208,350.24 : x
  2. Step 2: Convert to fraction form
    369,496.48/509,895.02 = 208,350.24/x
  3. Step 3: Cross multiply
    369,496.48x = 509,895.02 × 208,350.24
  4. Step 4: Simplify right side
    369,496.48x = 106,236,749,791.81
  5. Step 5: Solve for x
    x = 106,236,749,791.81/369,496.48
  6. Step 6: Final answer
    x = 287,517.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.